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Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = -4pi/3.

Question:

Find the terminal point {eq}P(x, y) {/eq} on the unit circle determined by the given value of {eq}t {/eq}.

{eq}t = - \frac{4 \pi}{3} {/eq}

Terminal Point on a Unit Circle:

The coordinates of points {eq}(x,y) {/eq} that correspond to a unit circle and whose center is located at point {eq}(0,0) {/eq} are tied to the sine and cosine values and the angle that represents the radius with the {eq}x {/eq}-axis. In this respect, the value of {eq}x {/eq} is associated with the cosine and the value of {eq}y {/eq} is related to the sine.

Answer and Explanation: 1

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{eq}\eqalign{ & {\text{The coordinates of a point }}\,P\left( {x,y} \right)\,{\text{ belonging to a unit circle are related to the sine and }} ...

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Practice Problems with Circular Trigonometric Functions

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Chapter 16 / Lesson 5
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Circular trigonometric functions are the trig functions which are calculated using a circle. Learn more about the unit circle, degrees, and radians, and apply your understanding by working through example problems.


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